Free Printable domain and transformation

1.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

2.

What is the range?

a)

0, 4, 10, 12

b)

1, 2, 4, 5, 10, 12

c)

0, 4, 10, 4, 12

d)

1, 2, 5

3.

Domain goes from

a)

low to high

b)

left to right

4.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

5.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

6.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

7.

What is the Range?

a)

y ≥ 6

b)

$-\infty<y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

8.

Does the following equation match the graph :

f(x)=x+1

a)

True

b)

False

9.

Explain the translation :

f(x)=|x+2|

a)

2 units towards the left

b)

2 units upward

c)

2 units downwards

d)

2 units towards the right

10.

What is the equation of the graph ?

a)

f(x)=|x-2|

b)

f(x)=|x+2|

c)

f(X)=x+2

d)

f(x)=x^2

11.

What is the equation of the given graph ?

a)

f(x)=x^2 +1

b)

f(x)=(x+1)^2

c)

f(x)=(x-1)^2

d)

f(x)=x^2 -1

12.

What is the domain?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

13.

What is the domain of the following function: ƒ(x)=√(x-10)

a)

(-∞,∞)

b)

[10,∞)

c)

[0,∞)

d)

[0,10]

14.

What is the domain of the following function: f(x)=3x-1

a)

[-1,3]

b)

(-∞,∞)

c)

(-1,∞)

d)

(-∞,-1)

15.

Given $g\left(x\right)=\frac{1}{x^2-4}$ , determine the domain based on what you know about basic arithmetic of real numbers.

a)

$x\ne2;\ \left(-\infty,\ 2\right)\cup\left(2,\ \infty\right)$

b)

$x\ne0;\ \left(-\infty,\ 0\right)\cup\left(0,\ \infty\right)$

c)

$x\ne\pm2;\ \left(-\infty,-2\right)\cup\left(-2,\ 2\right)\cup\left(2,\ \infty\right)$

d)

$x\ne0,\ x\ne2;\ \left(-\infty,0\right)\cup\left(0,\ 2\right)\cup\left(2,\ \infty\right)$

16.

What is the domain of

y=\frac{1}{x}

?

a)

$x\ne-1$

b)

$x\ne0$

c)

$x\ne1$

d)

$x\ne y$

17.

Identify the domain and range of the function:

$f\left(x\right)=-\frac{1}{x+3}$

a)

Domain: $\left(-\infty,-3\right)U\left(-3,\infty\right)$

Range:

$\left(-\infty,0\right)U\left(0,\infty\right)$

b)

Domain: $\left(-\infty,3\right)U\left(3,\infty\right)$

Range:

$\left(-\infty,0\right)U\left(0,\infty\right)$

c)

Domain: $\left(-\infty,0\right)U\left(0,\infty\right)$

Range:

$\left(-\infty,3\right)U\left(3,\infty\right)$

d)

Domain: $\left(-\infty,0\right)U\left(0,\infty\right)$

Range:

$\left(-\infty,-3\right)U\left(-3,\infty\right)$

18.

Which of the following is the function shown in the graph?

a)

b)

c)

d)

19.

What is the range of this parent graph? Choose the best answer.

a)

All nonnegative numbers $y\ge0\ \left(\left[0,\ \infty\right)\right)$

b)

All real numbers ( $\left(-\infty,\ \infty\right)$ )

c)

All negative numbers $y<0\ \left(\left(-\infty,\ 0\right)\right)$

d)

All of the above

20.

What is the domain of the graph?

a)

y≥1

b)

x ≥ 1

c)

All real numbers

d)

none of these

21.

What does changing x² to (x+1)²do to the function?

a)

Move it down one.

b)

Move it up one.

c)

Move it left one.

d)

Move it right one.

22.

Describe the transformation taking place in the given function

f\left(x\right)=3\sqrt{x-2}+5

a)

a stretch by a factor of 3
Shift right 2
Shift up 5

b)

a stretch by a factor of 3
Shift up 2
Shift right 5

c)

a shrink by a factor of 3
Shift down 2
Shift left 5

d)

A shrink bay factor of 3

Shift right 2
Shift down 5

23.

Which graph shows the following function?

f\left(x\right)=\sqrt{x-9}+3

a)

b)

c)

d)

24.

Find the domain of $g\left(x\right)=\sqrt{2x-4}$

a)

$\left\{x>2\right\}$

b)

$\left\{x\ge2\right\}$

c)

$\left\{x\le2\right\}$

d)

$\left\{x\ne\sqrt[]{2}\right\}$

25.

Which radical function goes to the left 4 units and down 3 units?

a)

$y=\sqrt[]{x+3}-4$

b)

$y=\sqrt[]{x-4}-3$

c)

$y=\sqrt[]{x+4}-3$

d)

$y=\sqrt[]{x-3}+4$

26.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

27.

Which equation is an absolute value graph shifted right 5 units?

a)

y = |x - 5|

b)

y = |x + 5|

c)

y = |x| + 5

d)

y = -5|x|

28.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

29.

How is this function transformed from the parent function ?

y=\frac{1}{x}

a)

Translated Right 5 and Up 1

b)

Translated Right 5 and Down 1

c)

Translated Left 5 and Up 1

d)

Translated Left 5 and Down 1

domain and transformation

Total questions: 29

Worksheet time: 39mins

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